SOLUTION: Before the postage increased from 87 cents to 96 cents for large envelopes, a company was sending out 4300 catalogs in large envelopes. Because of the price increase, the company w

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Before the postage increased from 87 cents to 96 cents for large envelopes, a company was sending out 4300 catalogs in large envelopes. Because of the price increase, the company w      Log On


   



Question 1093972: Before the postage increased from 87 cents to 96 cents for large envelopes, a company was sending out 4300 catalogs in large envelopes. Because of the price increase, the company will cut down on the number of catalogs sent. The company budgets an extra 2% when the new postage takes effect. By what percent will the number of catalogs decrease?
Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.
I will solve it step by step.

1.  87 cents * 4300 = 374100 cents.  It was the budget before postage increase.


2.  New postage budget is 2% more and is equal to 374100*(1+0.02) = 381582 cents.


3.  So, the company can send now 381582%2F96 = 3974.8 large envelopes = 3974 if to round to the nearest smaller integer.


4.  Now the ratio under the question is %284300-3974%29%2F4300 = 0.075814   or   7.5814%.

Solved.